
\begin{tikzpicture}[scale=2.2]
  \coordinate[label=below:$D$] (D) at (0,0);
  \coordinate[label=below:$B$] (B) at (-1,0);
  \coordinate[label=below:$C$] (C) at ({sqrt(7)-1},0);
  \coordinate[label=above:$A$] (A) at ({(1+sqrt(7))/2},{(sqrt(3)+sqrt(21))/6});
  \pic[mark angle={red}{5mm}{1.8}, "$30^\circ$"] {angle=C--D--A};
  \pic[mark angle={red}{5mm}{1.2}, "$60^\circ$"] {angle=B--A--C};
  \draw (A) -- (B) -- node[below] {$1$} (D) -- (C) -- cycle (A) -- (D);
\end{tikzpicture}
